Final answer:
To carpet the rectangular room with carpet that costs $10.95 per square yard, it would cost approximately $489.96.
Step-by-step explanation:
To find the cost of carpeting the room, we first need to calculate the area of the room. The formula to find the area of a rectangle is length times width. Therefore, the area of the room is 34 ft x 12 ft = 408 square feet.
Next, we need to convert the area from square feet to square yards, since the cost of the carpet is given in dollars per square yard. There are 9 square feet in 1 square yard, so we divide the area in square feet by 9 to get the area in square yards: 408 sq ft / 9 = 45.33 sq yd (rounded to two decimal places).
Finally, we can calculate the cost of carpeting the room by multiplying the area in square yards by the cost per square yard: 45.33 sq yd x $10.95/sq yd = $489.96 (rounded to the nearest cent).